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Finding the Fourth Proportional to 11,094.47, 16,649.90 and 5,251.08

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Solution

The fourth proportional to 11,094.47, 16,649.90 and 5,251.08 is: 7,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.47 : 16,649.90 = 5,251.08 : x
  2. Step 2: Convert to fraction form
    11,094.47/16,649.90 = 5,251.08/x
  3. Step 3: Cross multiply
    11,094.47x = 16,649.90 × 5,251.08
  4. Step 4: Simplify right side
    11,094.47x = 87,429,948.65
  5. Step 5: Solve for x
    x = 87,429,948.65/11,094.47
  6. Step 6: Final answer
    x = 7,880.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.